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GLOBAL OPTIMIZATION OF PUMP CONFIGURATION PROBLEM USING EXTENDED CROWDING GENETIC ALGORITHM 被引量:3

GLOBAL OPTIMIZATION OF PUMP CONFIGURATION PROBLEM USING EXTENDED CROWDING GENETIC ALGORITHM
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摘要 An extended crowding genetic algorithm (ECGA) is introduced for solvingoptimal pump configuration problem, which was presented by T. Westerlund in 1994. This problem hasbeen found to be non-convex, and the objective function contained several local optima and globaloptimality could not be ensured by all the traditional MINLP optimization method. The concepts ofspecies conserving and composite encoding are introduced to crowding genetic algorithm (CGA) formaintain the diversity of population more effectively and coping with the continuous and/or discretevariables in MINLP problem. The solution of three-levels pump configuration got from DICOPT++software (OA algorithm) is also given. By comparing with the solutions obtained from DICOPT++, ECPmethod, and MIN-MIN method, the ECGA algorithm proved to be very effective in finding the globaloptimal solution of multi-levels pump configuration via using the problem-specific information. An extended crowding genetic algorithm (ECGA) is introduced for solvingoptimal pump configuration problem, which was presented by T. Westerlund in 1994. This problem hasbeen found to be non-convex, and the objective function contained several local optima and globaloptimality could not be ensured by all the traditional MINLP optimization method. The concepts ofspecies conserving and composite encoding are introduced to crowding genetic algorithm (CGA) formaintain the diversity of population more effectively and coping with the continuous and/or discretevariables in MINLP problem. The solution of three-levels pump configuration got from DICOPT++software (OA algorithm) is also given. By comparing with the solutions obtained from DICOPT++, ECPmethod, and MIN-MIN method, the ECGA algorithm proved to be very effective in finding the globaloptimal solution of multi-levels pump configuration via using the problem-specific information.
出处 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2004年第2期247-252,共6页 中国机械工程学报(英文版)
基金 This project is supported by Provincial Science Foundation of Hebei (No.01213553).
关键词 Pump configuration problem Extended crowding genetic algorithm Speciesconserving Composite encoding Global optimization Pump configuration problem Extended crowding genetic algorithm Speciesconserving Composite encoding Global optimization
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参考文献12

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  • 5WESTERLUND T, PETTERSSON F, GROSSMANN I E. Optimiza- tion of pump configurations as a MINLP problem[J]. Computers and Chemical Engineering, 1994, 18(9): 845-858.
  • 6PETTERSSON F, WESTERLUND T. Global optimization of pump configurations using binary separable programming[J]. Computers and Chemical Engineering, 1997, 21(5): 521 - 529.
  • 7PETTERSSON F, WESTERLUND T. An extended cutting plane method for solving convex MINLP problems[J]. Computers and Chemical Engineering, 1995, 19(S): 131 - 136.
  • 8DURAN M A, GROSSMANN I E. An outer-approximation algo- rithm for a class of mixed-integer nonlinear programs[J]. Mathemat- ical Programming, 1986, 36(3): 307 - 339.
  • 9RUBINOV A M. Abstract Convexity and Global Optimization, Non- convex Optimization and Its Applications[M]. Dordrecht, Nether- lands: Kluwer, 2000.
  • 10ANDRAMONOV M, RUBINOV A, GLOVER B. Cutting angle methods in global optimization[J]. Applied Mathematical Letters, 1999, 12(3): 95 - 100.

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